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Finding the Fourth Proportional to 120,758.52, 181,137.78 and 37,659

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Solution

The fourth proportional to 120,758.52, 181,137.78 and 37,659 is: 56,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758.52 : 181,137.78 = 37,659 : x
  2. Step 2: Convert to fraction form
    120,758.52/181,137.78 = 37,659/x
  3. Step 3: Cross multiply
    120,758.52x = 181,137.78 × 37,659
  4. Step 4: Simplify right side
    120,758.52x = 6,821,467,657.02
  5. Step 5: Solve for x
    x = 6,821,467,657.02/120,758.52
  6. Step 6: Final answer
    x = 56,488.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.